The canonical genus of a classical and virtual knot (Q1863088)
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scientific article; zbMATH DE number 1879693
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The canonical genus of a classical and virtual knot |
scientific article; zbMATH DE number 1879693 |
Statements
The canonical genus of a classical and virtual knot (English)
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11 March 2003
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The authors show that the number of alternating knots of genus \(g\) with \(n\) crossings is \(O(n^{6g-4})\). In particular they estimate that the number of alternating knots of genus \(3\) grows not faster than \(n^{14}\).
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Seifert surface
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genus
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alternating knots
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crossing number
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Gauss diagram
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